A Chebyshev-Based High-Order-Accurate Integral Equation Solver for Maxwell's Equations

被引：9

作者：

Hu, Jin ^{[1
]}

Garza, Emmanuel ^{[1
]}

Sideris, Constantine ^{[1
]}

机构：

[1] Univ Southern Calif, Dept Elect & Comp Engn, Los Angeles, CA 90089 USA

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2021年 / 69卷 / 09期

基金：

美国国家科学基金会;

关键词：

High-order accuracy; integral equations; N-Muller formulation; scattering; spectral methods; DENSITY INTERPOLATION METHODS; ELECTROMAGNETIC SCATTERING; HELMHOLTZ-EQUATION; SURFACE SCATTERING; ALGORITHM; ELEMENTS;

D O I：

10.1109/TAP.2021.3061145

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This article introduces a new method for discretizing and solving integral equation formulations of Maxwell's equations, which achieves spectral accuracy for smooth surfaces. The approach is based on a hybrid Nystrom-collocation method using Chebyshev polynomials to expand the unknown current densities over curvilinear quadrilateral surface patches. As an example, the proposed strategy is applied to the magnetic field integral equation (MFIE) and the N-Muller formulation for scattering from metallic and dielectric objects, respectively. The convergence is studied for several different geometries, including spheres, cubes, and complex NURBS geometries imported from CAD software, and the results are compared against a commercial Method-of-Moments solver using RWG basis functions.

引用

页码：5790 / 5800

页数：11

共 50 条

[21] An integral equation approach and the interior transmission problem for Maxwell's equations
Kirsch, Andreas
INVERSE PROBLEMS AND IMAGING, 2007, 1 (01) : 159 - 179
[22] A high-order accurate scheme for Maxwell's equations with a generalized dispersive material model
Angel, Jordan B.
Banks, Jeffrey W.
Henshaw, William D.
Jenkinson, Michael J.
Kildishev, Alexander, V
Kovacic, Gregor
Prokopeva, Ludmila J.
Schwendeman, Donald W.
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 378 : 411 - 444
[23] HIGH-ORDER ACCURATE FDTD METHOD BASED ON SPLIT-STEP SCHEME FOR SOLVING MAXWELL'S EQUATIONS
Chu, Qing-Xin
Kong, Yong-Dan
MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 2009, 51 (02) : 562 - 565
[24] Higher-order correction to the FDTD method based on the integral form of Maxwell's equations
Kitsunezaki, Naofumi
Okabe, Atsushi
COMPUTER PHYSICS COMMUNICATIONS, 2014, 185 (06) : 1582 - 1588
[25] A high-order accurate multidomain Legendre-Chebyshev spectral method for 2D Maxwell's equations in inhomogeneous media with discontinuous waves
Niu, Cuixia
Ma, Heping
APPLIED MATHEMATICS LETTERS, 2022, 128
[26] Nanophotonic Simulation and Inverse Design using Fast High-order Chebyshev-based Nystrom Methods
Aslanyan, Davit
Hu, Jin
Sideris, Constantine
2023 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS, ICEAA, 2023, : 287 - 287
[27] A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation
Ollivier-Gooch, C
Van Altena, M
JOURNAL OF COMPUTATIONAL PHYSICS, 2002, 181 (02) : 729 - 752
[28] High order symplectic schemes for Maxwell's equations
Key Lab. of Computing and Signal Processing, Anhui Univ., Hefei 230039, China
Xi Tong Cheng Yu Dian Zi Ji Shu/Syst Eng Electron, 2006, 3 (342-344):
[29] Fast, high-order, hybrid integral equation solver for electromagnetic scattering
Zhu, AM
Gedney, S
Lu, CC
IEEE ANTENNAS AND PROPAGATION SOCIETY SYMPOSIUM, VOLS 1-4 2004, DIGEST, 2004, : 1199 - 1202
[30] A high-order accurate unstructured GMRES solver for the compressible Euler equations
Nejat, Amir
Ollivier-Gooch, Carl
COMPUTATIONAL FLUID DYNAMICS 2004, PROCEEDINGS, 2006, : 435 - +

← 1 2 3 4 5 →